I want to calculate activation energy for sintering of Al2O3 via constant heating rate method. I will choose three different heating rates. In all the papers I read, I can understand how to plot the graphs until ln(dT/dt * dp/dT * T) vs 1/T. But further i cannot understand how they calculate the activation energy from this plot, and how they use the slope of this graph to find the activation energy. Kindly tell me the next steps to do to find the activation energy.
https://www.sciencedirect.com/search?qs=calculate%20activation%20energy%20in%20constant%20heating%20rate%20method&show=25&sortBy=relevance
Google 'Arrhenius equation' or 'Arrhenius plot'. A worked example is shown in:
https://en.wikipedia.org/wiki/Arrhenius_plot
T is absolute temperature so it's often convenient to have 1000/T as the horizontal axis.
Sintering is often modeled by the Herring equation.
Once you plot that graph, make a linear fitting and find the slop of the fitted line. Multiply the slop by (-R) to get the activation energy.
Please note this calculation is valid only if no grain growth occurs. However, as you know, the
grain size increases during the sintering process; thus, the calculated activation energy is an approximate one.
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